Calculation of $c_\mathrm{SW}$ at one-loop order for Brillouin fermions
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866917590429859840 |
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| author | Ammer, Maximilian Durr, Stephan |
| author_facet | Ammer, Maximilian Durr, Stephan |
| contents | The Brillouin action is a Wilson-like lattice fermion action with a 81-point stencil, which was found to ameliorate the Wilson action in many respects. The Sheikholeslami-Wohlert coefficient $c_\mathrm{SW}$ of the clover improvement term has a perturbative expansion $c_\mathrm{SW}=c_\mathrm{SW}^{(0)}+g_0^2c_\mathrm{SW}^{(1)}+\mathcal{O}(g_0^4)$. At tree-level $c_\mathrm{SW}^{(0)}=r$ holds for Wilson and Brillouin fermions alike. We present the Feynman rules for the Brillouin action in lattice perturbation theory, and employ them to calculate the one-loop coefficient $c_\mathrm{SW}^{(1)}$ with plaquette or Lüscher-Weisz gluons. Numerically its value is found to be about half that of the Wilson action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_11261 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Calculation of $c_\mathrm{SW}$ at one-loop order for Brillouin fermions Ammer, Maximilian Durr, Stephan High Energy Physics - Lattice The Brillouin action is a Wilson-like lattice fermion action with a 81-point stencil, which was found to ameliorate the Wilson action in many respects. The Sheikholeslami-Wohlert coefficient $c_\mathrm{SW}$ of the clover improvement term has a perturbative expansion $c_\mathrm{SW}=c_\mathrm{SW}^{(0)}+g_0^2c_\mathrm{SW}^{(1)}+\mathcal{O}(g_0^4)$. At tree-level $c_\mathrm{SW}^{(0)}=r$ holds for Wilson and Brillouin fermions alike. We present the Feynman rules for the Brillouin action in lattice perturbation theory, and employ them to calculate the one-loop coefficient $c_\mathrm{SW}^{(1)}$ with plaquette or Lüscher-Weisz gluons. Numerically its value is found to be about half that of the Wilson action. |
| title | Calculation of $c_\mathrm{SW}$ at one-loop order for Brillouin fermions |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2302.11261 |